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Titlebook: Coding Theory and Number Theory; Toyokazu Hiramatsu,Günter K?hler Book 2003 Springer Science+Business Media Dordrecht 2003 Grad.algebra.co

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樓主
發(fā)表于 2025-3-21 16:44:26 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Coding Theory and Number Theory
編輯Toyokazu Hiramatsu,Günter K?hler
視頻videohttp://file.papertrans.cn/229/228897/228897.mp4
叢書名稱Mathematics and Its Applications
圖書封面Titlebook: Coding Theory and Number Theory;  Toyokazu Hiramatsu,Günter K?hler Book 2003 Springer Science+Business Media Dordrecht 2003 Grad.algebra.co
描述This book grew out of our lectures given in the Oberseminar on ‘Cod- ing Theory and Number Theory‘ at the Mathematics Institute of the Wiirzburg University in the Summer Semester, 2001. The coding the- ory combines mathematical elegance and some engineering problems to an unusual degree. The major advantage of studying coding theory is the beauty of this particular combination of mathematics and engineering. In this book we wish to introduce some practical problems to the math- ematician and to address these as an essential part of the development of modern number theory. The book consists of five chapters and an appendix. Chapter 1 may mostly be dropped from an introductory course of linear codes. In Chap- ter 2 we discuss some relations between the number of solutions of a diagonal equation over finite fields and the weight distribution of cyclic codes. Chapter 3 begins by reviewing some basic facts from elliptic curves over finite fields and modular forms, and shows that the weight distribution of the Melas codes is represented by means of the trace of the Hecke operators acting on the space of cusp forms. Chapter 4 is a systematic study of the algebraic-geometric codes. For a l
出版日期Book 2003
關(guān)鍵詞Grad; algebra; code; coding; coding theory; mathematics; modular curve; number theory; matrix theory
版次1
doihttps://doi.org/10.1007/978-94-017-0305-5
isbn_softcover978-90-481-6257-4
isbn_ebook978-94-017-0305-5
copyrightSpringer Science+Business Media Dordrecht 2003
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沙發(fā)
發(fā)表于 2025-3-21 20:52:00 | 只看該作者
viewing some basic facts from elliptic curves over finite fields and modular forms, and shows that the weight distribution of the Melas codes is represented by means of the trace of the Hecke operators acting on the space of cusp forms. Chapter 4 is a systematic study of the algebraic-geometric codes. For a l978-90-481-6257-4978-94-017-0305-5
板凳
發(fā)表于 2025-3-22 00:47:49 | 只看該作者
地板
發(fā)表于 2025-3-22 06:01:35 | 只看該作者
Elliptic Curves, Hecke Operators and Weight Distribution of Codes,ld . then we say that . is defined over the field .. The indexing of the coefficients appears to be strange. It is explained as follows. We assign the weights 3, 2 and . to ., . and .. respectively. Then every term in the equation has total weight 6.
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https://doi.org/10.1007/978-94-017-0305-5Grad; algebra; code; coding; coding theory; mathematics; modular curve; number theory; matrix theory
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發(fā)表于 2025-3-22 17:27:16 | 只看該作者
978-90-481-6257-4Springer Science+Business Media Dordrecht 2003
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發(fā)表于 2025-3-22 23:26:06 | 只看該作者
Seed Germination in Desert PlantsWe consider a polynomial equation of the type ., where . (≥ 2), .,..., .. are positive integers, .∈ .., .., ... , .. ∈ ..and . = .. with a prime .. Such an equation is called a .. By the number . of solutions of this equation (2.1) in .. we mean the number of .-tuples (γ....γ. for which ..
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Diophantine Equations and Cyclic Codes,We consider a polynomial equation of the type ., where . (≥ 2), .,..., .. are positive integers, .∈ .., .., ... , .. ∈ ..and . = .. with a prime .. Such an equation is called a .. By the number . of solutions of this equation (2.1) in .. we mean the number of .-tuples (γ....γ. for which ..
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